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Finding the Fourth Proportional to 6,177.98, 9,264 and 2,888.30

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Solution

The fourth proportional to 6,177.98, 9,264 and 2,888.30 is: 4,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.98 : 9,264 = 2,888.30 : x
  2. Step 2: Convert to fraction form
    6,177.98/9,264 = 2,888.30/x
  3. Step 3: Cross multiply
    6,177.98x = 9,264 × 2,888.30
  4. Step 4: Simplify right side
    6,177.98x = 26,757,211.20
  5. Step 5: Solve for x
    x = 26,757,211.20/6,177.98
  6. Step 6: Final answer
    x = 4,331.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.